578856153960 has 384 divisors, whose sum is σ = 2223099740160. Its totient is φ = 127828108800.

The previous prime is 578856153893. The next prime is 578856153971. The reversal of 578856153960 is 69351658875.

578856153960 is a `hidden beast` number, since 5 + 7 + 8 + 8 + 5 + 615 + 3 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49287849 + ... + 49299591.

It is an arithmetic number, because the mean of its divisors is an integer number (5789322240).

Almost surely, 2^578856153960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 578856153960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111549870080).

578856153960 is an abundant number, since it is smaller than the sum of its proper divisors (1644243586200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

578856153960 is a wasteful number, since it uses less digits than its factorization.

578856153960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12429 (or 12422 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 578856153960 in words is "five hundred seventy-eight billion, eight hundred fifty-six million, one hundred fifty-three thousand, nine hundred sixty".